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Finding the Fourth Proportional to 4,678.09, 7,016.92 and 1,168.11

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Solution

The fourth proportional to 4,678.09, 7,016.92 and 1,168.11 is: 1,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.09 : 7,016.92 = 1,168.11 : x
  2. Step 2: Convert to fraction form
    4,678.09/7,016.92 = 1,168.11/x
  3. Step 3: Cross multiply
    4,678.09x = 7,016.92 × 1,168.11
  4. Step 4: Simplify right side
    4,678.09x = 8,196,531.50
  5. Step 5: Solve for x
    x = 8,196,531.50/4,678.09
  6. Step 6: Final answer
    x = 1,752.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.